Author(s): AM Rangoli and AS Talawar

Abstract: In this paper, we introduced a modified Weibull distribution which is capable of handling both unimodal and bimodal scenarios. The hazard function for this distribution exhibits versatile behaviors, including increasing, decreasing, bathtub-shaped, and increasing-decreasing-increasing patterns. This modified distribution is applied in a competing risks framework with two causes of failure. Maximum Likelihood Estimation (MLE) is used for parameter estimation, and due to the lack of explicit solutions, we employed the Newton-Raphson algorithm. To validate the modified Weibull distribution, we conducted a simulation study and analysed a real-life dataset of cancer patients.

DOI: 10.22271/maths.2024.v9.i4b.1771

Pages: 94-100 | Views: 160 | Downloads: 35

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